827634285240 has 128 divisors (see below), whose sum is σ = 3004521154560. Its totient is φ = 178045691904.

The previous prime is 827634285229. The next prime is 827634285251. The reversal of 827634285240 is 42582436728.

It is a happy number.

827634285240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (827634285229) and next prime (827634285251).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28964512 + ... + 28993071.

It is an arithmetic number, because the mean of its divisors is an integer number (23472821520).

Almost surely, 2^827634285240 is an apocalyptic number.

It is an amenable number.

827634285240 is an abundant number, since it is smaller than the sum of its proper divisors (2176886869320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827634285240 is a wasteful number, since it uses less digits than its factorization.

827634285240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57957621 (or 57957617 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 827634285240 in words is "eight hundred twenty-seven billion, six hundred thirty-four million, two hundred eighty-five thousand, two hundred forty".